The number 80967
80967 is a composite number with 8 divisors. Its prime factorisation is 3 × 137 × 197. Divisors (8): 1, 3, 137, 197, 411, 591, 26989, 80967.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80967: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
80967 is composite. Its prime factorisation is
- 3
The divisors add up to 109296; without 80967 itself that is 28329, so 80967 is deficient (28329 is less than 80967). Euler's totient φ(80967) = 53312 numbers up to 80967 share no factor with it.
- 4
The digits of 80967 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 182 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80967 = 3 \times 137 \times 197 \]
80967 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 109296 |
| Euler totient φ(n) | 53312 |
| Square | 6555655089 |
| Cube | 530791725591063 |
| Square root | 284.547008 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 182 |
| Scientific notation | 8.0967 × |
80967 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand nine hundred and sixty-seven |
| Binary (base 2) | 10011110001000111 |
| Octal (base 8) | 236107 |
| Hexadecimal (base 16) | 13C47 |
| Base 3 | 11010001210 |
| As time | 80967 seconds = 22 h 29 min 27 s |
Is 80967 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80967 ÷ 3 = 26989) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 7) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 3) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80967 a prime number?
No. 80967 = 3 × 137 × 197, so it is divisible by 3.
What are the factors of 80967?
1, 3, 137, 197, 411, 591, 26989, 80967.
What is 80967 in binary?
10011110001000111 (hexadecimal 13C47, octal 236107).
What is the square root of 80967?
About 284.5470.
Is 80967 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 80967?
80967 is a happy number: repeatedly adding the squares of its digits reaches 1.